q-deformed superstatistics of the Schrödinger equation in commutative and noncommutative spaces with magnetic field

S. Sargolzaeipor1*, H. Hassanabadi1 and W. S. Chung2

1
Faculty of Physics, Shahrood University of Technology, 3619995161-316, Shahrood, Iran
2
Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, 660-701, Jinju, Korea

Received:
11
November
2017
Accepted:
7
December
2017
Published online:
9
January
2018

Abstract

We discuss the q-deformed algebra and study the Schrödinger equation in commutative and noncommutative spaces, under an external magnetic field. In this work, we obtain the energy spectrum by an analytical method and the thermodynamic properties of the system by using the q-deformed superstatistics are calculated. Actually, we derive a generalized version of the ordinary superstatistic for the non-equilibrium systems. Also, different effective Boltzmann factor descriptions are derived. In addition, we discuss about the results for various values of in commutative and noncommutative spaces and, to illustrate the results, some figures are plotted.